Crosses have revealed the species-specific, positively correlated intensiti
es of paternally expressed growth enhancer (GE) and maternally expressed gr
owth suppressor (GS), which serve as a reproductive isolation mechanism in
many plants and animals. However, how this mechanism evolved has remained u
nanswered. A dynamic model shows that the conflict between paternally and m
aternally inherited genomes may drive them to an evolutionary arms race" of
their GE and GS productions, respectively. This results in paternally expr
essed GE and maternally expressed GS, and their evolutionarily stable inten
sities are both decreasing functions of species-specific degree of paternit
y and GE and GS production costs, thereby establishing a mechanism for post
zygotic isolation.